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Journal Articles Archives of Computational Methods in Engineering Year : 2020

Trefftz Methods and Taylor Series

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Abstract

The paper discusses Trefftz discretization techniques with a focus on their coupling with shape functions computed by the method of Taylor series. The paper highlights are, on one hand the control of ill-conditioning and the solving of large scale problems, on the other hand the applications to non-linear Partial Differential Equations. Indeed, despite excellent convergence properties, the practical use of Trefftz methods remains very limited because of their difficulty in treating nonlinearities and large systems.
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Dates and versions

hal-03251176 , version 1 (06-06-2021)

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Jie Yang, Michel Potier-Ferry, Koffi Akpama, Heng Hu, Yao Koutsawa, et al.. Trefftz Methods and Taylor Series. Archives of Computational Methods in Engineering, 2020, 27 (3), pp.673-690. ⟨10.1007/s11831-019-09330-2⟩. ⟨hal-03251176⟩
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